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ISSAC
2005
Springer
125views Mathematics» more  ISSAC 2005»
14 years 26 days ago
Generalized normal forms and polynomial system solving
This paper describes a new method for computing the normal form of a polynomial modulo a zero-dimensional ideal I. We give a detailed description of the algorithm, a proof of its ...
Bernard Mourrain
AMC
2010
86views more  AMC 2010»
13 years 7 months ago
On properties of cell matrices
In this paper properties of cell matrices are studied. A determinant of such a matrix is given in a closed form. In the proof a general method for determining a determinant of a s...
Gasper Jaklic, Jolanda Modic
FOSSACS
2004
Springer
14 years 23 days ago
Polynomials for Proving Termination of Context-Sensitive Rewriting
Abstract. We show how to generate well-founded and stable term orderings based on polynomial interpretations over the real numbers. Monotonicity (another usual requirement in termi...
Salvador Lucas
ICFP
2003
ACM
14 years 7 months ago
Representing reductions of NP-complete problems in logical frameworks: a case study
Under the widely believed conjecture P=NP, NP-complete problems cannot be solved exactly using efficient polynomial time algorithms. Furthermore, any instance of a NP-complete pro...
Carsten Schürmann, Jatin Shah
CSL
2008
Springer
13 years 9 months ago
Quantitative Game Semantics for Linear Logic
We present a game-based semantic framework in which the time complexity of any IMELL proof can be read out of its interpretation. This gives a compositional view of the geometry of...
Ugo Dal Lago, Olivier Laurent